Calculate the force of gravitation between Earth and the sun,given the mass of earth = 2×10^24 kg and of the sun= 2×10^30 kg;distance betwee

Question

Calculate the force of gravitation between Earth and the sun,given the mass of earth = 2×10^24 kg and of the sun= 2×10^30 kg;distance between them,r= 1.5×10^11 m.

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Madeline 2 weeks 2021-11-15T10:26:31+00:00 2 Answers 0 views 0

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    0
    2021-11-15T10:27:40+00:00

    Correct Question:

    Calculate the force of gravitation between Earth and the sun,given the mass of earth = \tt   6 \times 10^{24} kg and of the sun= \tt 2 \times 10^{30} kg;distance between them,r= \tt 1.5 \times 10^{11} m.

    Your Answer:

    Given:-

    • \tt M = 6\times 10^{24}kg.
    • \tt m = 2 \times 10^{30}kg.
    • \tt d=1.5\times 10^{11} m.

    Solution:-

    We know that

    \tt F = G\dfrac{Mm}{d^2}

    We also know

    \tt G = 6.674\times10^{-11} \ \ or \ \ 6.67 \times 10^{-11}

    Replacing values in the Equation.

    \tt F = 6.67 \times 10^{-11} \times \dfrac{6 \times 10^{24} \times 2 \times 10^{30}}{(1.5 \times 10^{11})^2} \\\\ \tt \Rightarrow F = \dfrac{6.67 \times 6 \times 2 \times 10^{(-11+24+30)}}{2.25 \times 10^{22}} \\\\ \tt \Rightarrow F = \dfrac{80.04 \times 10^{43}}{2.25 \times 10^{22}} \\\\ \tt \Rightarrow F =35.57 \times 10^{(43-22) } \\\\ \tt \Rightarrow F = 35.57 \times 10^{21}N

    So, We have Force of Gravitation = \tt F = 35.57 \times 10^{21}N.

    0
    2021-11-15T10:27:54+00:00

    Answer:

    I think it will help you

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